Hidden Structures of the Mandelbrot and Julia Sets

An exploration of the correlations between the Mandelbrot Set and the Julia Sets for z^2 + c. Followed by some flybys of the full Mandelbrot/Julia structures. Finally, an attempt to show the complete 4D Mandelbrot Set..with partial success.

[@pastaplatoon6184]

Are humans even allowed to be seeing this stuff?! This feels akin to pulling back the curtain of reality.

[@antivanti]

Now I just need to grow a third eye and have it offset in the 4th dimension so I can see the entire structure at once...

[@antismatic]

What's the music?

[@19Szabolcs91]

Looks amazing, but your speech's volume is way too low compared to the music, it's hard to hear.

[@jakezahradnik7394]

What's the music?

[@azai.mp4]

This is really cool, thank you. It also cleared up the relationship between the Mandelbrot and Julia sets for me. In the end, they're just orthogonal slices of the same 4-dimensional shape!

[@andrasfogarasi5014]

The rendering must've been a pain.

[@skadogg22]

Where can we listen to the music? It's not on your website :(

[@lukatolstov5598]

C is complex plane. X is real axis. Y is IMAGINARY axis.

[@benross8307]

The three dimensional structures look like muscles.

[@Kebabrulle4869]

>understood nothing

[@lawrencedoliveiro9104]

Fractals give me this incredible feeling of vertigo. If you are trying to envision what infinity looks like, this is it: falling, endlessly falling, into more and more levels of detail.

[@mark879]

And a whole new universe opens up to me. I've coded both the Mandelbrot and Julia Set before. I always thought it was beautiful. But, to see it like this. It's almost spiritual. Thanks for the video!

[@risvegliato]

This is probably the most beautiful rendering of the connections between the Mandelbrot/Julia sets I have seen. And although some commenters have complained about the loudness of the music, I think it is just right. I don't know what the music is, but if fits perfectly with the visualisation. Sounds a bit like some of Terry Riley's stuff from the 60's.

[@alik250]

Great, another video I have to watch 73 times to understand

[@StarGarnet03]

I love how this feels like an 90's educational program you'd find on Clickview!

[@DarthCalculus]

Electronic music and mathematical animations are a perfect pair!

[@stephenstreet1045]

WOW! Talk about down the rabbit hole.

[@picksalot1]

I had no idea that the Mandelbrot and Julia sets could be visualized in 3D. That was awesome!

[@OskarElek]

You know, the interesting thing is that the sweeps along the hyper-axes actually don't produce a chaotic behavior. I'd wager that you can find continuous 1D embeddings in there (not necessarily aligned with any of the canonical axes). That seems surprising, given the nature of the base sets, but maybe it isn't...opinions anyone?